Magma V2.19-8 Tue Aug 20 2013 23:39:15 on localhost [Seed = 2530276035] Type ? for help. Type -D to quit. Loading file "K13n1496__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1496 geometric_solution 9.52266719 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.803720905706 0.339040742722 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477558265208 0.330537434879 5 0 9 8 0321 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.107754365344 1.021148689897 6 4 4 0 0132 2031 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614483529635 0.500949655436 3 3 0 9 1302 0213 0132 3201 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 0 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814219784249 0.735913287161 2 1 7 8 0321 0132 3120 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.134787867294 1.466233422406 3 7 1 8 0132 3012 0132 2031 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.327105214985 2.141572780549 6 10 5 1 1230 0132 3120 0132 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.013229985879 0.621667640428 5 6 2 10 3201 1302 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.074186224344 0.911872749895 10 4 10 2 3012 2310 1302 0132 0 0 0 0 0 0 0 0 1 0 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.012358139858 1.031664970740 9 7 8 9 2031 0132 2031 1230 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.988390502484 0.969167856391 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0110_8']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0110_8']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0110_4']), 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : d['c_0011_4'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_9']), 'c_1100_3' : negation(d['c_0011_9']), 'c_1100_2' : d['c_0101_10'], 'c_1100_10' : d['c_0101_2'], 'c_1010_7' : negation(d['c_0110_8']), 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : negation(d['c_0110_8']), 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : negation(d['c_0110_4']), 'c_1010_9' : negation(d['c_0110_4']), 'c_1010_8' : negation(d['c_0101_2']), 'c_1100_8' : d['c_0101_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_9'], 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_0']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_8, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0110_4, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 343921556843327849/15403272501034*c_0110_8^11 - 2007839257259503425/15403272501034*c_0110_8^10 - 18300682742242902405/61613090004136*c_0110_8^9 - 48044081529024084307/123226180008272*c_0110_8^8 - 32714233084287936801/61613090004136*c_0110_8^7 - 40420546036815881041/61613090004136*c_0110_8^6 - 3949406527060079304/7701636250517*c_0110_8^5 - 4845924253672449099/11202380000752*c_0110_8^4 - 460215256545347911/1400297500094*c_0110_8^3 - 926101343106167061/7248598824016*c_0110_8^2 - 2704921603916543611/30806545002068*c_0110_8 - 2020732155709565229/123226180008272, c_0011_0 - 1, c_0011_10 + 103853/170138*c_0110_8^11 + 553679/170138*c_0110_8^10 + 4741249/680552*c_0110_8^9 + 13809795/1361104*c_0110_8^8 + 2846489/170138*c_0110_8^7 + 13075315/680552*c_0110_8^6 + 4941229/340276*c_0110_8^5 + 19114509/1361104*c_0110_8^4 + 2940009/340276*c_0110_8^3 + 3714541/1361104*c_0110_8^2 + 296513/170138*c_0110_8 + 33779/1361104, c_0011_3 - 366317/85069*c_0110_8^11 - 2158169/85069*c_0110_8^10 - 20352433/340276*c_0110_8^9 - 57128775/680552*c_0110_8^8 - 39414037/340276*c_0110_8^7 - 23729611/170138*c_0110_8^6 - 39466557/340276*c_0110_8^5 - 66672811/680552*c_0110_8^4 - 5955508/85069*c_0110_8^3 - 21374493/680552*c_0110_8^2 - 6177039/340276*c_0110_8 - 2072657/680552, c_0011_4 + 1663819/170138*c_0110_8^11 + 9765825/170138*c_0110_8^10 + 90216935/680552*c_0110_8^9 + 242358581/1361104*c_0110_8^8 + 41291917/170138*c_0110_8^7 + 201832383/680552*c_0110_8^6 + 80253073/340276*c_0110_8^5 + 270718103/1361104*c_0110_8^4 + 12542277/85069*c_0110_8^3 + 79637711/1361104*c_0110_8^2 + 3329982/85069*c_0110_8 + 8321565/1361104, c_0011_8 - 5509/170138*c_0110_8^11 - 104311/170138*c_0110_8^10 - 1763001/680552*c_0110_8^9 - 6017419/1361104*c_0110_8^8 - 680549/170138*c_0110_8^7 - 3263055/680552*c_0110_8^6 - 725951/170138*c_0110_8^5 - 1081601/1361104*c_0110_8^4 - 172003/170138*c_0110_8^3 + 1002995/1361104*c_0110_8^2 + 98454/85069*c_0110_8 + 645841/1361104, c_0011_9 - 611353/170138*c_0110_8^11 - 3543847/170138*c_0110_8^10 - 32050285/680552*c_0110_8^9 - 83301919/1361104*c_0110_8^8 - 28108377/340276*c_0110_8^7 - 68434859/680552*c_0110_8^6 - 26187567/340276*c_0110_8^5 - 86422761/1361104*c_0110_8^4 - 16315503/340276*c_0110_8^3 - 24963649/1361104*c_0110_8^2 - 1042199/85069*c_0110_8 - 3149707/1361104, c_0101_0 - 1353001/85069*c_0110_8^11 - 7833639/85069*c_0110_8^10 - 70567005/340276*c_0110_8^9 - 182352671/680552*c_0110_8^8 - 61859193/170138*c_0110_8^7 - 152682397/340276*c_0110_8^6 - 118873861/340276*c_0110_8^5 - 199416147/680552*c_0110_8^4 - 74742473/340276*c_0110_8^3 - 58284933/680552*c_0110_8^2 - 9699021/170138*c_0110_8 - 6058193/680552, c_0101_10 + 943731/170138*c_0110_8^11 + 5596305/170138*c_0110_8^10 + 52724831/680552*c_0110_8^9 + 146335517/1361104*c_0110_8^8 + 25145691/170138*c_0110_8^7 + 121919565/680552*c_0110_8^6 + 49371365/340276*c_0110_8^5 + 169603067/1361104*c_0110_8^4 + 30963117/340276*c_0110_8^3 + 51412099/1361104*c_0110_8^2 + 4282393/170138*c_0110_8 + 5904549/1361104, c_0101_2 - 339810/85069*c_0110_8^11 - 1989688/85069*c_0110_8^10 - 9235217/170138*c_0110_8^9 - 25185961/340276*c_0110_8^8 - 34241671/340276*c_0110_8^7 - 20431425/170138*c_0110_8^6 - 8203195/85069*c_0110_8^5 - 13971549/170138*c_0110_8^4 - 4947047/85069*c_0110_8^3 - 4223911/170138*c_0110_8^2 - 5446911/340276*c_0110_8 - 882113/340276, c_0110_4 + 489345/85069*c_0110_8^11 + 2841069/85069*c_0110_8^10 + 25756533/340276*c_0110_8^9 + 67798659/680552*c_0110_8^8 + 46981065/340276*c_0110_8^7 + 29210907/170138*c_0110_8^6 + 45988391/340276*c_0110_8^5 + 78932055/680552*c_0110_8^4 + 15018457/170138*c_0110_8^3 + 23424709/680552*c_0110_8^2 + 8266833/340276*c_0110_8 + 2719477/680552, c_0110_8^12 + 6*c_0110_8^11 + 57/4*c_0110_8^10 + 157/8*c_0110_8^9 + 213/8*c_0110_8^8 + 133/4*c_0110_8^7 + 111/4*c_0110_8^6 + 185/8*c_0110_8^5 + 143/8*c_0110_8^4 + 65/8*c_0110_8^3 + 39/8*c_0110_8^2 + 11/8*c_0110_8 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.460 Total time: 0.680 seconds, Total memory usage: 32.09MB